Higher Descent Data as a Homotopy Limit
Algebraic Geometry
2015-07-16 v5
Abstract
We define the 2-groupoid of descent data assigned to a cosimplicial 2-groupoid and present it as the homotopy limit of the cosimplicial space gotten after applying the 2-nerve in each cosimplicial degree. This can be applied also to the case of -groupoids thus providing an analogous presentation of "descent data" in higher dimensions.
Cite
@article{arxiv.1112.3072,
title = {Higher Descent Data as a Homotopy Limit},
author = {Matan Prasma},
journal= {arXiv preprint arXiv:1112.3072},
year = {2015}
}
Comments
Appeared in JHRS